The former Arsenal bigwig opted to make the move to Serie A after being offered significantly better terms than at the 'Gunners' and having started work on Saturday he is looking to hit the ground running with regard to transfer targets.
According to widespred reports in the Italian press, moves for both Ibrahimovic and Fabregas are on the cards, with manager Gennaro Gattuso refusing to rule out a return for the Swede following the 1-1 draw with Lazio last weekend.
Ibrahimovic successfully showed that there is life in the old dog yet by plundering 23 goals and seven assists in 34 appearances for LA Galaxy last season, but the veteran is believed to be keen on one last shot at European football.
The 37-year-old knows Milan well, having turned out for both AC Milan (2010-2012) and Inter (2006-2009) during his career to date and is understood to be open to a return to his former stomping ground.
Fabregas, meanwhile, is yet to start a Premier League game this season, having fallen down the pecking order following the arrivals of Jorginho and Mateo Kovacic.
The Spaniard is believed to be keen to secure more regular game time and the opportunity to play in Serie A, where careers tend to be extended by several years, could be of interest to him.